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Finding the Fourth Proportional to 274.33, 411.69 and 209.53

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Solution

The fourth proportional to 274.33, 411.69 and 209.53 is: 314.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.33 : 411.69 = 209.53 : x
  2. Step 2: Convert to fraction form
    274.33/411.69 = 209.53/x
  3. Step 3: Cross multiply
    274.33x = 411.69 × 209.53
  4. Step 4: Simplify right side
    274.33x = 86,261.41
  5. Step 5: Solve for x
    x = 86,261.41/274.33
  6. Step 6: Final answer
    x = 314.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.